Hello I will be helping with the written response questions in unit 2 lesson 5:
Question one:
Basically this question is asking you to show your work of how you found X The missing angle. If you don’t know how to find the missing angle here’s how to do it:
The sum of all the angles in a triangle is 180°. Find the sum of the known angle measures (70°x2) which is 140° Then subtract 180° from 140°. The answer you’ll find from that will equal X. Then type out your steps in the box.
Question two:
It says to find the complement and the supplement of the angle shown. If you don’t know what a complement and a supplement is well a complement is two angles that equals 90° And a supplement is multiple angles that equal 180°. So to find the complement we need to subtract 52° From 90° Which should equal 38°. And to find the supplement we need to subtract 52° From 180° Which should equal 128°. Now just type your steps into the box.
!DISCLAIMER! please only use this to check your work do not use this to cheat ;)
For question one:
To find the missing angle (which is represented as X), you can use the fact that the sum of all angles in a triangle is 180°.
1. Start by summing up the known angle measures. In this case, the known angle measures are 70° and 70°, which adds up to 140°. Therefore, the sum of the known angle measures is 140°.
2. Next, subtract the sum of the known angle measures (140°) from 180° (the sum of all angles in a triangle).
X = 180° - 140°
3. Solve the subtraction to find the value of X.
X = 40°
So, the missing angle (X) is equal to 40°.
For question two:
To find the complement and supplement of the given angle, follow these steps:
1. A complement is an angle that, when added to the given angle, results in a sum of 90°.
Subtract the given angle (52°) from 90°.
Complement = 90° - 52°
2. Calculate the subtraction to find the complement angle.
Complement = 38°
Therefore, the complement of the given angle is 38°.
3. A supplement is an angle that, when added to the given angle, results in a sum of 180°.
Subtract the given angle (52°) from 180°.
Supplement = 180° - 52°
4. Calculate the subtraction to find the supplement angle.
Supplement = 128°
Hence, the complement of the given angle is 38° and the supplement is 128°.
Remember, these explanations are provided to help you understand the process of finding the answers. It is important to do the work yourself and avoid using these explanations for cheating.